Finite Group Databasebeta

← C19×#14084 #18020043

Subgroups — C19×#14084 #18020043

Order 4864.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1174 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C19×#390C211yesmaximal, characteristic
2C2×C19×#388C211yesmaximal, characteristic, complemented
3C2×C19×#388C211yesmaximal, characteristic, complemented
4C2×C19×#387C211yesmaximal, characteristic, complemented
5C2×C19×#386C211yesmaximal, characteristic
6C2×C19×#385C211yesmaximal, characteristic, complemented
7C2×C4×C22⋊C4×C19C211yesmaximal, characteristic, complemented
8C19×#1445C211yesmaximal, characteristic, complemented
9C19×#1439C211yesmaximal, characteristic, complemented
10C19×#1439C211yesmaximal, characteristic, complemented
11C19×#1438C211yesmaximal, characteristic
12C19×#1437C211yesmaximal, characteristic, complemented
13C19×#1437C211yesmaximal, characteristic, complemented
14C19×C4⋊#95C211yesmaximal, characteristic, complemented
15C4×C19×#95C211yesmaximal, characteristic, complemented
16C23×D4×C19C2211yescharacteristic
17C24×C4×C19C2211yescharacteristic
18C22×C4⋊C4×C19C2211yescharacteristic
19C22×C4⋊C4×C19C2211yescharacteristic
20C22×C4⋊C4×C19C2211yescharacteristic
21C22×C4⋊C4×C19C2211yescharacteristic
22C22×C22⋊C4×C19C2211yescharacteristic
23C22×C22⋊C4×C19C2211yescharacteristic
24C22×C22⋊C4×C19C2211yescharacteristic
25C22×C22⋊C4×C19C2211yescharacteristic
26C22×C22⋊C4×C19C2211yescharacteristic
27C22×C22⋊C4×C19C2211yescharacteristic
28C22×C22⋊C4×C19C2211yescharacteristic
29C22×C22⋊C4×C19C2211yescharacteristic
30C22×C22⋊C4×C19C2211yescharacteristic
31C22×C22⋊C4×C19C2211yescharacteristic
32C22×C22⋊C4×C19C2211yescharacteristic
33C22×C42×C19C2211yescharacteristic
34C22×C42×C19C2211yescharacteristic
35C22×C42×C19C2211yescharacteristic
36C22×C42×C19C2211yescharacteristic
37C19×#390C418yescomplemented
38C19×#388—24no—
39C19×#388—24no—
40C19×#387—24no—
41C19×#386—24no—
42C19×#385—24no—
43C4×C22⋊C4×C19—24no—
44C2×C19×#95C2211yescharacteristic
45C2×C19×#95C2211yescharacteristic
46C2×C19×#95C2211yescharacteristic
47C2×C19×#95C2211yescharacteristic
48C2×C19×#95C2211yescharacteristic
49C2×C19×#95C2211yescharacteristic
50C2×C19×#95C2211yescharacteristic
51C2×C19×#95C2211yescharacteristic
52C2×C19×#95C2211yescharacteristic
53C2×C19×#95C2211yescharacteristic
54C2×C19×#95C2211yescharacteristic
55C2×C19×#95C2211yescharacteristic
56C2×C19×#95C2211yescharacteristic
57C2×C19×#95C2211yescharacteristic
58C25×C19C2311yescharacteristic
59C25×C19C2311yescharacteristic
60C22×D4×C19—22no—
61C22×D4×C19—22no—
62C22×D4×C19—22no—
63C22×D4×C19—22no—
64C22×D4×C19—41no—
65C22×D4×C19—41no—
66C22×D4×C19C2×C414yes—
67C23×C4×C19—22no—
68C23×C4×C19—22no—
69C23×C4×C19—22no—
70C23×C4×C19—22no—
71C23×C4×C19—22no—
72C23×C4×C19—41no—
73C23×C4×C19—41no—
74C23×C4×C19C2311yescharacteristic
75C23×C4×C19C2311yescharacteristic
76C23×C4×C19C2311yescharacteristic
77C23×C4×C19C2311yescharacteristic
78C23×C4×C19C2311yescharacteristic
79C23×C4×C19C2311yescharacteristic
80C23×C4×C19C2311yescharacteristic
81C23×C4×C19C2311yescharacteristic
82C23×C4×C19C2311yescharacteristic
83C23×C4×C19C2311yescharacteristic
84C23×C4×C19C2311yescharacteristic
85C23×C4×C19C2311yescharacteristic
86C23×C4×C19C2311yescharacteristic
87C2×C4⋊C4×C19—22no—
88C2×C4⋊C4×C19—22no—
89C2×C4⋊C4×C19—22no—
90C2×C4⋊C4×C19—22no—
91C2×C4⋊C4×C19—22no—
92C2×C4⋊C4×C19—22no—
93C2×C4⋊C4×C19—22no—
94C2×C4⋊C4×C19—22no—
95C2×C4⋊C4×C19—22no—
96C2×C4⋊C4×C19—41no—
97C2×C4⋊C4×C19—41no—
98C2×C4⋊C4×C19C2×C414yescomplemented
99C2×C22⋊C4×C19—22no—
100C2×C22⋊C4×C19—22no—
101C2×C22⋊C4×C19—22no—
102C2×C22⋊C4×C19—22no—
103C2×C22⋊C4×C19—22no—
104C2×C22⋊C4×C19—22no—
105C2×C22⋊C4×C19—22no—
106C2×C22⋊C4×C19—22no—
107C2×C22⋊C4×C19—22no—
108C2×C22⋊C4×C19—22no—
109C2×C22⋊C4×C19—22no—
110C2×C22⋊C4×C19—22no—
111C2×C22⋊C4×C19—22no—
112C2×C22⋊C4×C19—22no—
113C2×C22⋊C4×C19—22no—
114C2×C22⋊C4×C19—22no—
115C2×C22⋊C4×C19—22no—
116C2×C22⋊C4×C19—22no—
117C2×C22⋊C4×C19—22no—
118C2×C22⋊C4×C19—22no—
119C2×C22⋊C4×C19—22no—
120C2×C22⋊C4×C19—22no—
121C2×C22⋊C4×C19—22no—
122C2×C22⋊C4×C19—41no—
123C2×C22⋊C4×C19—41no—
124C2×C22⋊C4×C19—41no—
125C2×C22⋊C4×C19—41no—
126C2×C22⋊C4×C19—41no—
127C2×C22⋊C4×C19—41no—
128C2×C22⋊C4×C19C2×C414yes—
129C2×C22⋊C4×C19C2×C414yes—
130C2×C22⋊C4×C19C2×C414yescomplemented
131C2×C22⋊C4×C19C2×C414yescomplemented
132C2×C42×C19—22no—
133C2×C42×C19—22no—
134C2×C42×C19—22no—
135C2×C42×C19—22no—
136C2×C42×C19—41no—
137C2×C42×C19—41no—
138C2×C42×C19—41no—
139C2×C42×C19—41no—
140C2×C42×C19—41no—
141C2×C42×C19—41no—
142C2×C42×C19C2×C414yescomplemented
143C2×C42×C19D414yescomplemented
144C19×#95—22no—
145C19×#95—22no—
146C19×#95—22no—
147C19×#95—22no—
148C19×#95—22no—
149C19×#95—22no—
150C19×#95—22no—
151C19×#95—22no—
152C19×#95—22no—
153C19×#95—22no—
154C19×#95—22no—
155C19×#95—22no—
156C19×#95D414yes—
157C19×#95D414yescomplemented
158C24×C19—21no—
159C24×C19—21no—
160C24×C19—21no—
161C24×C19—21no—
162C24×C19—21no—
163C24×C19—21no—
164C24×C19—21no—
165C24×C19—21no—
166C24×C19—21no—
167C24×C19—21no—
168C24×C19—21no—
169C24×C19—21no—
170C24×C19—21no—
171C24×C19—21no—
172C24×C19—21no—
173C24×C19—21no—
174C24×C19—21no—
175C24×C19—21no—
176C24×C19—21no—
177C24×C19—21no—
178C24×C19—21no—
179C24×C19—21no—
180C24×C19—21no—
181C24×C19—21no—
182C24×C19—21no—
183C24×C19—21no—
184C24×C19C22×C412yes—
185C24×C19C22×C412yes—
186C24×C19#4112yes—
187C24×C19#4112yes—
188C24×C19C2411yescharacteristic
189C2×D4×C19—28no—
190C2×D4×C19—28no—
191C2×D4×C19—44no—
192C2×D4×C19—44no—
193C2×D4×C19—44no—
194C2×D4×C19—44no—
195C2×D4×C19—44no—
196C22×C4×C19—21no—
197C22×C4×C19—21no—
198C22×C4×C19—21no—
199C22×C4×C19—21no—
200C22×C4×C19—21no—
201C22×C4×C19—21no—
202C22×C4×C19—21no—
203C22×C4×C19—21no—
204C22×C4×C19—21no—
205C22×C4×C19—21no—
206C22×C4×C19—21no—
207C22×C4×C19—21no—
208C22×C4×C19—21no—
209C22×C4×C19—21no—
210C22×C4×C19—21no—
211C22×C4×C19—21no—
212C22×C4×C19—28no—
213C22×C4×C19—21no—
214C22×C4×C19—21no—
215C22×C4×C19—21no—
216C22×C4×C19—21no—
217C22×C4×C19—21no—
218C22×C4×C19—21no—
219C22×C4×C19—21no—
220C22×C4×C19—21no—
221C22×C4×C19—21no—
222C22×C4×C19—21no—
223C22×C4×C19—21no—
224C22×C4×C19—21no—
225C22×C4×C19—21no—
226C22×C4×C19—21no—
227C22×C4×C19—21no—
228C22×C4×C19—21no—
229C22×C4×C19—21no—
230C22×C4×C19—21no—
231C22×C4×C19—21no—
232C22×C4×C19—21no—
233C22×C4×C19—21no—
234C22×C4×C19—21no—
235C22×C4×C19—21no—
236C22×C4×C19—21no—
237C22×C4×C19—21no—
238C22×C4×C19—21no—
239C22×C4×C19—21no—
240C22×C4×C19—21no—
241C22×C4×C19—21no—
242C22×C4×C19—21no—
243C22×C4×C19—21no—
244C22×C4×C19—21no—
245C22×C4×C19—21no—
246C22×C4×C19—21no—
247C22×C4×C19—21no—
248C22×C4×C19—21no—
249C22×C4×C19—21no—
250C22×C4×C19—21no—
251C22×C4×C19—21no—
252C22×C4×C19—21no—
253C22×C4×C19—21no—
254C22×C4×C19—21no—
255C22×C4×C19—21no—
256C22×C4×C19—21no—
257C22×C4×C19—21no—
258C22×C4×C19—21no—
259C22×C4×C19—21no—
260C22×C4×C19—21no—
261C22×C4×C19—21no—
262C22×C4×C19—21no—
263C22×C4×C19—21no—
264C22×C4×C19—21no—
265C22×C4×C19—21no—
266C22×C4×C19—21no—
267C22×C4×C19—21no—
268C22×C4×C19—21no—
269C22×C4×C19—44no—
270C22×C4×C19—44no—
271C22×C4×C19—44no—
272C22×C4×C19—44no—
273C22×C4×C19—44no—
274C22×C4×C19—44no—
275C22×C4×C19C22×C412yes—
276C22×C4×C19C22×C412yes—
277C22×C4×C19C22×C412yes—
278C22×C4×C19C22×C412yes—
279C22×C4×C19C22×C412yes—
280C22×C4×C19C2×D412yes—
281C22×C4×C19C2×D412yes—
282C22×C4×C19C2×D412yes—
283C22×C4×C19C2×D412yes—
284C22×C4×C19C2×D412yes—
285C22×C4×C19C2×D412yes—
286C22×C4×C19C2×D412yes—
287C22×C4×C19C2×D412yes—
288C22×C4×C19C2×D412yes—
289C22×C4×C19#4112yes—
290C22×C4×C19#4112yes—
291C22×C4×C19#4112yes—
292C22×C4×C19#4112yes—
293C22×C4×C19#4112yes—
294C4⋊C4×C19—28no—
295C4⋊C4×C19—44no—
296C4⋊C4×C19—44no—
297C4⋊C4×C19—44no—
298C22⋊C4×C19—28no—
299C22⋊C4×C19—28no—
300C22⋊C4×C19—28no—
301C22⋊C4×C19—28no—
302C22⋊C4×C19—28no—
303C22⋊C4×C19—44no—
304C22⋊C4×C19—44no—
305C22⋊C4×C19—44no—
306C22⋊C4×C19—44no—
307C22⋊C4×C19—44no—
308C22⋊C4×C19—44no—
309C42×C19—44no—
310C42×C19—44no—
311C42×C19—44no—
312C42×C19—44no—
313#14084C1911yesmaximal, characteristic, direct product factor, Sylow
314C23×C19—22no—
315C23×C19—22no—
316C23×C19—22no—
317C23×C19—22no—
318C23×C19—22no—
319C23×C19—22no—
320C23×C19—22no—
321C23×C19—22no—
322C23×C19—22no—
323C23×C19—22no—
324C23×C19—22no—
325C23×C19—22no—
326C23×C19—22no—
327C23×C19—22no—
328C23×C19—22no—
329C23×C19—22no—
330C23×C19—22no—
331C23×C19—22no—
332C23×C19—22no—
333C23×C19—22no—
334C23×C19—22no—
335C23×C19—22no—
336C23×C19—22no—
337C23×C19—22no—
338C23×C19—22no—
339C23×C19—41no—
340C23×C19—41no—
341C23×C19—41no—
342C23×C19—41no—
343C23×C19—41no—
344C23×C19—41no—
345C23×C19—41no—
346C23×C19—41no—
347C23×C19—41no—
348C23×C19—41no—
349C23×C19—41no—
350C23×C19—41no—
351C23×C19—41no—
352C23×C19—41no—
353C23×C19—41no—
354C23×C19—41no—
355C23×C19—41no—
356C23×C19—41no—
357C23×C19—41no—
358C23×C19—41no—
359C23×C19—41no—
360C23×C19—41no—
361C23×C19—41no—
362C23×C19—41no—
363C23×C19—41no—
364C23×C19—41no—
365C23×C19—41no—
366C23×C19—41no—
367C23×C19—41no—
368C23×C19—41no—
369C23×C19—41no—
370C23×C19—41no—
371C23×C19—41no—
372C23×C19—41no—
373C23×C19—41no—
374C23×C19—41no—
375C23×C19—41no—
376C23×C19—41no—
377C23×C19—41no—
378C23×C19—41no—
379C23×C19—41no—
380C23×C19—41no—
381C23×C19—41no—
382C23×C19—41no—
383C23×C19#11714yes—
384C23×C19C23×C411yescharacteristic
385C23×C19C22×D411yescharacteristic
386C23×C19C22×D411yescharacteristic
387C23×C19C22×D411yescharacteristic
388C23×C19C2×#4111yescharacteristic
389C23×C19C2×#4111yescharacteristic
390C23×C19C2×#4111yescharacteristic
391C23×C19C2×#4111yescharacteristic
392C23×C19C2×#4111yescharacteristic
393C23×C19C2×#4111yescharacteristic
394C23×C19C2×#4111yescharacteristic
395C23×C19H(5,𝔽2)11yescharacteristic
396C23×C19H(5,𝔽2)11yescharacteristic
397C23×C19H(5,𝔽2)11yescharacteristic
398C23×C192−1+411yescharacteristic
399D4×C19—416no—
400C2×C4×C19—22no—
401C2×C4×C19—22no—
402C2×C4×C19—22no—
403C2×C4×C19—22no—
404C2×C4×C19—22no—
405C2×C4×C19—22no—
406C2×C4×C19—22no—
407C2×C4×C19—22no—
408C2×C4×C19—22no—
409C2×C4×C19—22no—
410C2×C4×C19—22no—
411C2×C4×C19—22no—
412C2×C4×C19—22no—
413C2×C4×C19—22no—
414C2×C4×C19—22no—
415C2×C4×C19—22no—
416C2×C4×C19—22no—
417C2×C4×C19—22no—
418C2×C4×C19—22no—
419C2×C4×C19—22no—
420C2×C4×C19—22no—
421C2×C4×C19—22no—
422C2×C4×C19—22no—
423C2×C4×C19—22no—
424C2×C4×C19—22no—
425C2×C4×C19—22no—
426C2×C4×C19—22no—
427C2×C4×C19—22no—
428C2×C4×C19—22no—
429C2×C4×C19—22no—
430C2×C4×C19—22no—
431C2×C4×C19—22no—
432C2×C4×C19—22no—
433C2×C4×C19—22no—
434C2×C4×C19—22no—
435C2×C4×C19—22no—
436C2×C4×C19—22no—
437C2×C4×C19—22no—
438C2×C4×C19—22no—
439C2×C4×C19—22no—
440C2×C4×C19—22no—
441C2×C4×C19—22no—
442C2×C4×C19—22no—
443C2×C4×C19—22no—
444C2×C4×C19—22no—
445C2×C4×C19—416no—
446C2×C4×C19—41no—
447C2×C4×C19—41no—
448C2×C4×C19—41no—
449C2×C4×C19—41no—
450C2×C4×C19—41no—
451C2×C4×C19—41no—
452C2×C4×C19—41no—
453C2×C4×C19—41no—
454C2×C4×C19—41no—
455C2×C4×C19—41no—
456C2×C4×C19—41no—
457C2×C4×C19—41no—
458C2×C4×C19—41no—
459C2×C4×C19—41no—
460C2×C4×C19—41no—
461C2×C4×C19—41no—
462C2×C4×C19—41no—
463C2×C4×C19—41no—
464C2×C4×C19—41no—
465C2×C4×C19—41no—
466C2×C4×C19—41no—
467C2×C4×C19—41no—
468C2×C4×C19—41no—
469C2×C4×C19—41no—
470C2×C4×C19—41no—
471C2×C4×C19—41no—
472C2×C4×C19—41no—
473C2×C4×C19—41no—
474C2×C4×C19—41no—
475C2×C4×C19—41no—
476C2×C4×C19—41no—
477C2×C4×C19—41no—
478C2×C4×C19—41no—
479C2×C4×C19—41no—
480C2×C4×C19—41no—
481C2×C4×C19—41no—
482C2×C4×C19—41no—
483C2×C4×C19—41no—
484C2×C4×C19—41no—
485C2×C4×C19—41no—
486C2×C4×C19—41no—
487C2×C4×C19—41no—
488C2×C4×C19C4×D414yes—
489C2×C4×C19C4×D414yes—
490C2×C4×C19C4×D414yes—
491C2×C4×C19#12714yes—
492C2×#390C2×C1911yescharacteristic
493C2×#388C2×C1911yescharacteristic, complemented
494C2×#388C2×C1911yescharacteristic, complemented
495C2×#387C2×C1911yescharacteristic, complemented
496C2×#386C2×C1911yescharacteristic
497C2×#385C2×C1911yescharacteristic, complemented
498C2×C4×C22⋊C4C2×C1911yescharacteristic, complemented
499#1445C2×C1911yescharacteristic, complemented
500#1439C2×C1911yescharacteristic, complemented
501#1439C2×C1911yescharacteristic, complemented
502#1438C2×C1911yescharacteristic
503#1437C2×C1911yescharacteristic, complemented
504#1437C2×C1911yescharacteristic, complemented
505C4⋊#95C2×C1911yescharacteristic, complemented
506C4×#95C2×C1911yescharacteristic, complemented
507C22×C19—24no—
508C22×C19—24no—
509C22×C19—24no—
510C22×C19—42no—
511C22×C19—42no—
512C22×C19—42no—
513C22×C19—42no—
514C22×C19—42no—
515C22×C19—42no—
516C22×C19—42no—
517C22×C19—42no—
518C22×C19—42no—
519C22×C19—42no—
520C22×C19—42no—
521C22×C19—42no—
522C22×C19—42no—
523C22×C19—42no—
524C22×C19—42no—
525C22×C19—42no—
526C22×C19—42no—
527C22×C19—42no—
528C22×C19—42no—
529C22×C19—81no—
530C22×C19—81no—
531C22×C19—81no—
532C22×C19—81no—
533C22×C19—81no—
534C22×C19—81no—
535C22×C19—81no—
536C22×C19—81no—
537C22×C19C2×#11711yescharacteristic
538C22×C19C2×C4×D411yescharacteristic
539C22×C19C2×C4×D411yescharacteristic
540C22×C19C2×C4×D411yescharacteristic
541C22×C19C4×#4111yescharacteristic
542C22×C19#51811yescharacteristic
543C22×C19#52011yescharacteristic
544C22×C19#52511yescharacteristic
545C22×C19#52511yescharacteristic
546C22×C19#52911yescharacteristic
547C22×C19#52911yescharacteristic
548C22×C19C2×#12711yescharacteristic
549C22×C19#53211yescharacteristic
550C22×C19#53211yescharacteristic
551C22×C19#53211yescharacteristic
552C22×C19#53411yescharacteristic
553C22×C19#53711yescharacteristic
554C22×C19#53811yescharacteristic
555C22×C19#53911yescharacteristic
556C22×C19#54611yescharacteristic
557C22×C19#54611yescharacteristic
558C22×C19#54611yescharacteristic
559C22×C19#54611yescharacteristic
560C22×C19#54611yescharacteristic
561C22×C19#54611yescharacteristic
562C22×C19#54811yescharacteristic
563C22×C19#54811yescharacteristic
564C22×C19#55111yescharacteristic
565C22×C19#55111yescharacteristic
566C22×C19#55211yescharacteristic
567C22×C19#55311yescharacteristic
568C22×C19#55311yescharacteristic
569C22×C19#55311yescharacteristic
570C22×C19#55611yescharacteristic
571C22×C19#55911yescharacteristic
572C4×C19—24no—
573C4×C19—24no—
574C4×C19—24no—
575C4×C19—24no—
576C4×C19—42no—
577C4×C19—42no—
578C4×C19—42no—
579C4×C19—42no—
580C4×C19—42no—
581C4×C19—42no—
582C4×C19—42no—
583C4×C19—81no—
584C4×C19—81no—
585C23×D4C22×C1911yescharacteristic
586C24×C4C22×C1911yescharacteristic
587C22×C4⋊C4C22×C1911yescharacteristic
588C22×C4⋊C4C22×C1911yescharacteristic
589C22×C4⋊C4C22×C1911yescharacteristic
590C22×C4⋊C4C22×C1911yescharacteristic
591C22×C22⋊C4C22×C1911yescharacteristic
592C22×C22⋊C4C22×C1911yescharacteristic
593C22×C22⋊C4C22×C1911yescharacteristic
594C22×C22⋊C4C22×C1911yescharacteristic
595C22×C22⋊C4C22×C1911yescharacteristic
596C22×C22⋊C4C22×C1911yescharacteristic
597C22×C22⋊C4C22×C1911yescharacteristic
598C22×C22⋊C4C22×C1911yescharacteristic
599C22×C22⋊C4C22×C1911yescharacteristic
600C22×C22⋊C4C22×C1911yescharacteristic
601C22×C22⋊C4C22×C1911yescharacteristic
602C22×C42C22×C1911yescharacteristic
603C22×C42C22×C1911yescharacteristic
604C22×C42C22×C1911yescharacteristic
605C22×C42C22×C1911yescharacteristic
606#390C4×C1918yescomplemented
607#388—24no—
608#388—24no—
609#387—24no—
610#386—24no—
611#385—24no—
612C4×C22⋊C4—24no—
613C2×#95C22×C1911yescharacteristic
614C2×#95C22×C1911yescharacteristic
615C2×#95C22×C1911yescharacteristic
616C2×#95C22×C1911yescharacteristic
617C2×#95C22×C1911yescharacteristic
618C2×#95C22×C1911yescharacteristic
619C2×#95C22×C1911yescharacteristic
620C2×#95C22×C1911yescharacteristic
621C2×#95C22×C1911yescharacteristic
622C2×#95C22×C1911yescharacteristic
623C2×#95C22×C1911yescharacteristic
624C2×#95C22×C1911yescharacteristic
625C2×#95C22×C1911yescharacteristic
626C2×#95C22×C1911yescharacteristic
627C2×C19—44no—
628C2×C19—82no—
629C2×C19#229011yescharacteristic
630C2×C19C4×#12711yescharacteristic
631C2×C19#232511yescharacteristic
632C2×C19#234211yescharacteristic
633C2×C19#235211yescharacteristic
634C2×C19#236411yescharacteristic
635C2×C19#236711yescharacteristic
636C2×C19#253911yescharacteristic
637C2×C19#254011yescharacteristic
638C2×C19#255711yescharacteristic
639C2×C19#255811yescharacteristic
640C2×C19#255911yescharacteristic
641C2×C19#256011yescharacteristic
642C2×C19#260111yescharacteristic
643C2×C19#260211yescharacteristic
644C25C23×C1911yescharacteristic
645C25C23×C1911yescharacteristic
646C22×D4—22no—
647C22×D4—22no—
648C22×D4—22no—
649C22×D4—22no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4C2×C4×C1914yes—
653C23×C4—22no—
654C23×C4—22no—
655C23×C4—22no—
656C23×C4—22no—
657C23×C4—22no—
658C23×C4—41no—
659C23×C4—41no—
660C23×C4C23×C1911yescharacteristic
661C23×C4C23×C1911yescharacteristic
662C23×C4C23×C1911yescharacteristic
663C23×C4C23×C1911yescharacteristic
664C23×C4C23×C1911yescharacteristic
665C23×C4C23×C1911yescharacteristic
666C23×C4C23×C1911yescharacteristic
667C23×C4C23×C1911yescharacteristic
668C23×C4C23×C1911yescharacteristic
669C23×C4C23×C1911yescharacteristic
670C23×C4C23×C1911yescharacteristic
671C23×C4C23×C1911yescharacteristic
672C23×C4C23×C1911yescharacteristic
673C2×C4⋊C4—22no—
674C2×C4⋊C4—22no—
675C2×C4⋊C4—22no—
676C2×C4⋊C4—22no—
677C2×C4⋊C4—22no—
678C2×C4⋊C4—22no—
679C2×C4⋊C4—22no—
680C2×C4⋊C4—22no—
681C2×C4⋊C4—22no—
682C2×C4⋊C4—41no—
683C2×C4⋊C4—41no—
684C2×C4⋊C4C2×C4×C1914yescomplemented
685C2×C22⋊C4—22no—
686C2×C22⋊C4—22no—
687C2×C22⋊C4—22no—
688C2×C22⋊C4—22no—
689C2×C22⋊C4—22no—
690C2×C22⋊C4—22no—
691C2×C22⋊C4—22no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—22no—
695C2×C22⋊C4—22no—
696C2×C22⋊C4—22no—
697C2×C22⋊C4—22no—
698C2×C22⋊C4—22no—
699C2×C22⋊C4—22no—
700C2×C22⋊C4—22no—
701C2×C22⋊C4—22no—
702C2×C22⋊C4—22no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—22no—
706C2×C22⋊C4—22no—
707C2×C22⋊C4—22no—
708C2×C22⋊C4—41no—
709C2×C22⋊C4—41no—
710C2×C22⋊C4—41no—
711C2×C22⋊C4—41no—
712C2×C22⋊C4—41no—
713C2×C22⋊C4—41no—
714C2×C22⋊C4C2×C4×C1914yes—
715C2×C22⋊C4C2×C4×C1914yes—
716C2×C22⋊C4C2×C4×C1914yescomplemented
717C2×C22⋊C4C2×C4×C1914yescomplemented
718C2×C42—22no—
719C2×C42—22no—
720C2×C42—22no—
721C2×C42—22no—
722C2×C42—41no—
723C2×C42—41no—
724C2×C42—41no—
725C2×C42—41no—
726C2×C42—41no—
727C2×C42—41no—
728C2×C42C2×C4×C1914yescomplemented
729C2×C42D4×C1914yescomplemented
730#95—22no—
731#95—22no—
732#95—22no—
733#95—22no—
734#95—22no—
735#95—22no—
736#95—22no—
737#95—22no—
738#95—22no—
739#95—22no—
740#95—22no—
741#95—22no—
742#95D4×C1914yes—
743#95D4×C1914yescomplemented
744C19#1408411yescharacteristic, direct product factor, Sylow
745C24—21no—
746C24—21no—
747C24—21no—
748C24—21no—
749C24—21no—
750C24—21no—
751C24—21no—
752C24—21no—
753C24—21no—
754C24—21no—
755C24—21no—
756C24—21no—
757C24—21no—
758C24—21no—
759C24—21no—
760C24—21no—
761C24—21no—
762C24—21no—
763C24—21no—
764C24—21no—
765C24—21no—
766C24—21no—
767C24—21no—
768C24—21no—
769C24—21no—
770C24—21no—
771C24C22×C4×C1912yes—
772C24C22×C4×C1912yes—
773C24#41×C1912yes—
774C24#41×C1912yes—
775C24C24×C1911yescharacteristic
776C2×D4—28no—
777C2×D4—28no—
778C2×D4—44no—
779C2×D4—44no—
780C2×D4—44no—
781C2×D4—44no—
782C2×D4—44no—
783C22×C4—21no—
784C22×C4—21no—
785C22×C4—21no—
786C22×C4—21no—
787C22×C4—21no—
788C22×C4—21no—
789C22×C4—21no—
790C22×C4—21no—
791C22×C4—21no—
792C22×C4—21no—
793C22×C4—21no—
794C22×C4—21no—
795C22×C4—21no—
796C22×C4—21no—
797C22×C4—21no—
798C22×C4—21no—
799C22×C4—28no—
800C22×C4—21no—
801C22×C4—21no—
802C22×C4—21no—
803C22×C4—21no—
804C22×C4—21no—
805C22×C4—21no—
806C22×C4—21no—
807C22×C4—21no—
808C22×C4—21no—
809C22×C4—21no—
810C22×C4—21no—
811C22×C4—21no—
812C22×C4—21no—
813C22×C4—21no—
814C22×C4—21no—
815C22×C4—21no—
816C22×C4—21no—
817C22×C4—21no—
818C22×C4—21no—
819C22×C4—21no—
820C22×C4—21no—
821C22×C4—21no—
822C22×C4—21no—
823C22×C4—21no—
824C22×C4—21no—
825C22×C4—21no—
826C22×C4—21no—
827C22×C4—21no—
828C22×C4—21no—
829C22×C4—21no—
830C22×C4—21no—
831C22×C4—21no—
832C22×C4—21no—
833C22×C4—21no—
834C22×C4—21no—
835C22×C4—21no—
836C22×C4—21no—
837C22×C4—21no—
838C22×C4—21no—
839C22×C4—21no—
840C22×C4—21no—
841C22×C4—21no—
842C22×C4—21no—
843C22×C4—21no—
844C22×C4—21no—
845C22×C4—21no—
846C22×C4—21no—
847C22×C4—21no—
848C22×C4—21no—
849C22×C4—21no—
850C22×C4—21no—
851C22×C4—21no—
852C22×C4—21no—
853C22×C4—21no—
854C22×C4—21no—
855C22×C4—21no—
856C22×C4—44no—
857C22×C4—44no—
858C22×C4—44no—
859C22×C4—44no—
860C22×C4—44no—
861C22×C4—44no—
862C22×C4C22×C4×C1912yes—
863C22×C4C22×C4×C1912yes—
864C22×C4C22×C4×C1912yes—
865C22×C4C22×C4×C1912yes—
866C22×C4C22×C4×C1912yes—
867C22×C4C2×D4×C1912yes—
868C22×C4C2×D4×C1912yes—
869C22×C4C2×D4×C1912yes—
870C22×C4C2×D4×C1912yes—
871C22×C4C2×D4×C1912yes—
872C22×C4C2×D4×C1912yes—
873C22×C4C2×D4×C1912yes—
874C22×C4C2×D4×C1912yes—
875C22×C4C2×D4×C1912yes—
876C22×C4#41×C1912yes—
877C22×C4#41×C1912yes—
878C22×C4#41×C1912yes—
879C22×C4#41×C1912yes—
880C22×C4#41×C1912yes—
881C4⋊C4—28no—
882C4⋊C4—44no—
883C4⋊C4—44no—
884C4⋊C4—44no—
885C22⋊C4—28no—
886C22⋊C4—28no—
887C22⋊C4—28no—
888C22⋊C4—28no—
889C22⋊C4—28no—
890C22⋊C4—44no—
891C22⋊C4—44no—
892C22⋊C4—44no—
893C22⋊C4—44no—
894C22⋊C4—44no—
895C22⋊C4—44no—
896C42—44no—
897C42—44no—
898C42—44no—
899C42—44no—
900C23—22no—
901C23—22no—
902C23—22no—
903C23—22no—
904C23—22no—
905C23—22no—
906C23—22no—
907C23—22no—
908C23—22no—
909C23—22no—
910C23—22no—
911C23—22no—
912C23—22no—
913C23—22no—
914C23—22no—
915C23—22no—
916C23—22no—
917C23—22no—
918C23—22no—
919C23—22no—
920C23—22no—
921C23—22no—
922C23—22no—
923C23—22no—
924C23—22no—
925C23—41no—
926C23—41no—
927C23—41no—
928C23—41no—
929C23—41no—
930C23—41no—
931C23—41no—
932C23—41no—
933C23—41no—
934C23—41no—
935C23—41no—
936C23—41no—
937C23—41no—
938C23—41no—
939C23—41no—
940C23—41no—
941C23—41no—
942C23—41no—
943C23—41no—
944C23—41no—
945C23—41no—
946C23—41no—
947C23—41no—
948C23—41no—
949C23—41no—
950C23—41no—
951C23—41no—
952C23—41no—
953C23—41no—
954C23—41no—
955C23—41no—
956C23—41no—
957C23—41no—
958C23—41no—
959C23—41no—
960C23—41no—
961C23—41no—
962C23—41no—
963C23—41no—
964C23—41no—
965C23—41no—
966C23—41no—
967C23—41no—
968C23—41no—
969C23C19×#11714yes—
970C23C23×C4×C1911yescharacteristic
971C23C22×D4×C1911yescharacteristic
972C23C22×D4×C1911yescharacteristic
973C23C22×D4×C1911yescharacteristic
974C23C2×#41×C1911yescharacteristic
975C23C2×#41×C1911yescharacteristic
976C23C2×#41×C1911yescharacteristic
977C23C2×#41×C1911yescharacteristic
978C23C2×#41×C1911yescharacteristic
979C23C2×#41×C1911yescharacteristic
980C23C2×#41×C1911yescharacteristic
981C23C19×H(5,𝔽2)11yescharacteristic
982C23C19×H(5,𝔽2)11yescharacteristic
983C23C19×H(5,𝔽2)11yescharacteristic
984C23C19×2−1+411yescharacteristic
985D4—416no—
986C2×C4—22no—
987C2×C4—22no—
988C2×C4—22no—
989C2×C4—22no—
990C2×C4—22no—
991C2×C4—22no—
992C2×C4—22no—
993C2×C4—22no—
994C2×C4—22no—
995C2×C4—22no—
996C2×C4—22no—
997C2×C4—22no—
998C2×C4—22no—
999C2×C4—22no—
1000C2×C4—22no—
1001C2×C4—22no—
1002C2×C4—22no—
1003C2×C4—22no—
1004C2×C4—22no—
1005C2×C4—22no—
1006C2×C4—22no—
1007C2×C4—22no—
1008C2×C4—22no—
1009C2×C4—22no—
1010C2×C4—22no—
1011C2×C4—22no—
1012C2×C4—22no—
1013C2×C4—22no—
1014C2×C4—22no—
1015C2×C4—22no—
1016C2×C4—22no—
1017C2×C4—22no—
1018C2×C4—22no—
1019C2×C4—22no—
1020C2×C4—22no—
1021C2×C4—22no—
1022C2×C4—22no—
1023C2×C4—22no—
1024C2×C4—22no—
1025C2×C4—22no—
1026C2×C4—22no—
1027C2×C4—22no—
1028C2×C4—22no—
1029C2×C4—22no—
1030C2×C4—22no—
1031C2×C4—416no—
1032C2×C4—41no—
1033C2×C4—41no—
1034C2×C4—41no—
1035C2×C4—41no—
1036C2×C4—41no—
1037C2×C4—41no—
1038C2×C4—41no—
1039C2×C4—41no—
1040C2×C4—41no—
1041C2×C4—41no—
1042C2×C4—41no—
1043C2×C4—41no—
1044C2×C4—41no—
1045C2×C4—41no—
1046C2×C4—41no—
1047C2×C4—41no—
1048C2×C4—41no—
1049C2×C4—41no—
1050C2×C4—41no—
1051C2×C4—41no—
1052C2×C4—41no—
1053C2×C4—41no—
1054C2×C4—41no—
1055C2×C4—41no—
1056C2×C4—41no—
1057C2×C4—41no—
1058C2×C4—41no—
1059C2×C4—41no—
1060C2×C4—41no—
1061C2×C4—41no—
1062C2×C4—41no—
1063C2×C4—41no—
1064C2×C4—41no—
1065C2×C4—41no—
1066C2×C4—41no—
1067C2×C4—41no—
1068C2×C4—41no—
1069C2×C4—41no—
1070C2×C4—41no—
1071C2×C4—41no—
1072C2×C4—41no—
1073C2×C4—41no—
1074C2×C4C4×D4×C1914yes—
1075C2×C4C4×D4×C1914yes—
1076C2×C4C4×D4×C1914yes—
1077C2×C4C19×#12714yes—
1078C22—24no—
1079C22—24no—
1080C22—24no—
1081C22—42no—
1082C22—42no—
1083C22—42no—
1084C22—42no—
1085C22—42no—
1086C22—42no—
1087C22—42no—
1088C22—42no—
1089C22—42no—
1090C22—42no—
1091C22—42no—
1092C22—42no—
1093C22—42no—
1094C22—42no—
1095C22—42no—
1096C22—42no—
1097C22—42no—
1098C22—42no—
1099C22—42no—
1100C22—81no—
1101C22—81no—
1102C22—81no—
1103C22—81no—
1104C22—81no—
1105C22—81no—
1106C22—81no—
1107C22—81no—
1108C22C2×C19×#11711yescharacteristic
1109C22C2×C4×D4×C1911yescharacteristic
1110C22C2×C4×D4×C1911yescharacteristic
1111C22C2×C4×D4×C1911yescharacteristic
1112C22C4×#41×C1911yescharacteristic
1113C22C19×#51811yescharacteristic
1114C22C19×#52011yescharacteristic
1115C22C19×#52511yescharacteristic
1116C22C19×#52511yescharacteristic
1117C22C19×#52911yescharacteristic
1118C22C19×#52911yescharacteristic
1119C22C2×C19×#12711yescharacteristic
1120C22C19×#53211yescharacteristic
1121C22C19×#53211yescharacteristic
1122C22C19×#53211yescharacteristic
1123C22C19×#53411yescharacteristic
1124C22C19×#53711yescharacteristic
1125C22C19×#53811yescharacteristic
1126C22C19×#53911yescharacteristic
1127C22C19×#54611yescharacteristic
1128C22C19×#54611yescharacteristic
1129C22C19×#54611yescharacteristic
1130C22C19×#54611yescharacteristic
1131C22C19×#54611yescharacteristic
1132C22C19×#54611yescharacteristic
1133C22C19×#54811yescharacteristic
1134C22C19×#54811yescharacteristic
1135C22C19×#55111yescharacteristic
1136C22C19×#55111yescharacteristic
1137C22C19×#55211yescharacteristic
1138C22C19×#55311yescharacteristic
1139C22C19×#55311yescharacteristic
1140C22C19×#55311yescharacteristic
1141C22C19×#55611yescharacteristic
1142C22C19×#55911yescharacteristic
1143C4—24no—
1144C4—24no—
1145C4—24no—
1146C4—24no—
1147C4—42no—
1148C4—42no—
1149C4—42no—
1150C4—42no—
1151C4—42no—
1152C4—42no—
1153C4—42no—
1154C4—81no—
1155C4—81no—
1156C2—44no—
1157C2—82no—
1158C2C19×#229011yescharacteristic
1159C2C4×C19×#12711yescharacteristic
1160C2C19×#232511yescharacteristic
1161C2C19×#234211yescharacteristic
1162C2C19×#235211yescharacteristic
1163C2C19×#236411yescharacteristic
1164C2C19×#236711yescharacteristic
1165C2C19×#253911yescharacteristic
1166C2C19×#254011yescharacteristic
1167C2C19×#255711yescharacteristic
1168C2C19×#255811yescharacteristic
1169C2C19×#255911yescharacteristic
1170C2C19×#256011yescharacteristic
1171C2C19×#260111yescharacteristic
1172C2C19×#260211yescharacteristic
subgroupG/H
center, socleC24×C19C24
commutatorC23C23×C4×C19
Frattini, cosocleC24C24×C19
prime radicalC23×D4×C19C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C19 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×C19×#388C2semidirect
3. C2×C19×#388C2semidirect
4. C2×C19×#387C2semidirect
6. C2×C19×#385C2semidirect
7. C2×C4×C22⋊C4×C19C2semidirect
8. C19×#1445C2semidirect
9. C19×#1439C2semidirect
10. C19×#1439C2semidirect
12. C19×#1437C2semidirect
13. C19×#1437C2semidirect
14. C19×C4⋊#95C2semidirect
15. C4×C19×#95C2semidirect
37. C19×#390C4semidirect
98. C2×C4⋊C4×C19C2×C4semidirect
130. C2×C22⋊C4×C19C2×C4semidirect
131. C2×C22⋊C4×C19C2×C4semidirect
142. C2×C42×C19C2×C4semidirect
143. C2×C42×C19D4semidirect
157. C19×#95D4semidirect
313. #14084C19direct (N × H)
493. C2×#388C2×C19semidirect
494. C2×#388C2×C19semidirect
495. C2×#387C2×C19semidirect
497. C2×#385C2×C19semidirect
498. C2×C4×C22⋊C4C2×C19semidirect
499. #1445C2×C19semidirect
500. #1439C2×C19semidirect
501. #1439C2×C19semidirect
503. #1437C2×C19semidirect
504. #1437C2×C19semidirect
505. C4⋊#95C2×C19semidirect
506. C4×#95C2×C19semidirect
606. #390C4×C19semidirect
684. C2×C4⋊C4C2×C4×C19semidirect
716. C2×C22⋊C4C2×C4×C19semidirect
717. C2×C22⋊C4C2×C4×C19semidirect
728. C2×C42C2×C4×C19semidirect
729. C2×C42D4×C19semidirect
743. #95D4×C19semidirect
744. C19#14084direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×C19×#3902
C2×C19×#3882
C2×C19×#3872
C2×C19×#3862
C2×C19×#3852
C2×C4×C22⋊C4×C192
C19×#14452
C19×#14392
C19×#14382
C19×#14372
C19×C4⋊#952
C4×C19×#952
#1408419